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problem 3 4pts recall that a square matrix a is...

Question: problem 3 4pts recall that a square matrix a is...

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Problem 3 (4pts). Recall that a square matrix A is (1) symmetric if A7-A, and (2) skew-symmetric if AT--A. What are the dimensions of the following vector spaces? Justify your answers. a, 1pt) The space S, of all 3 x 3 symmetric matrices? b, 1pt) The space T, of all 3 × 3 skew-symmetric matrices?

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